SeedValue seed_mpfr_floor (SeedContext ctx,
SeedObject function,
SeedObject this_object,
gsize argument_count,
const SeedValue args[],
SeedException * exception)
{
mpfr_ptr rop, op;
gint ret;
CHECK_ARG_COUNT("mpfr.floor", 1);
rop = seed_object_get_private(this_object);
if ( seed_value_is_object_of_class(ctx, args[0], mpfr_class) )
{
op = seed_object_get_private(args[0]);
}
else
{
TYPE_EXCEPTION("mpfr.floor", "mpfr_t");
}
ret = mpfr_floor(rop, op);
return seed_value_from_int(ctx, ret, exception);
}
static int synge_int_rand(synge_t to, synge_t number, mpfr_rnd_t round) {
/* round input */
mpfr_floor(number, number);
/* get random number */
synge_rand(to, number, round);
/* round output */
mpfr_round(to, to);
return 0;
} /* synge_int_rand() */
static int synge_sum(synge_t to, synge_t number, mpfr_rnd_t round) {
/* round input */
mpfr_floor(number, number);
/* (x * (x + 1)) / 2 */
mpfr_set(to, number, round);
mpfr_add_si(number, number, 1, round);
mpfr_mul(to, to, number, round);
mpfr_div_si(to, to, 2, round);
return 0;
} /* synge_sum() */
decimal r_floor(const decimal& a)
{
#ifdef USE_CGAL
CGAL::Gmpfr m;
CGAL::Gmpfr n=to_gmpfr(a);
mpfr_floor(m.fr(),n.fr());
return decimal(m);
#else
return floor(a);
#endif
}
//------------------------------------------------------------------------------
// Name:
//------------------------------------------------------------------------------
knumber_base *knumber_float::floor() {
#ifdef KNUMBER_USE_MPFR
mpfr_t mpfr;
mpfr_init_set_f(mpfr, mpf_, rounding_mode);
mpfr_floor(mpfr, mpfr);
mpfr_get_f(mpf_, mpfr, rounding_mode);
mpfr_clear(mpfr);
return this;
#else
const double x = mpf_get_d(mpf_);
if(isinf(x)) {
delete this;
return new knumber_error(knumber_error::ERROR_POS_INFINITY);
} else {
return execute_libc_func< ::floor>(x);
}
#endif
}
static int synge_factorial(synge_t to, synge_t num, mpfr_rnd_t round) {
/* round input */
synge_t number;
mpfr_init2(number, SYNGE_PRECISION);
mpfr_abs(number, num, round);
mpfr_floor(number, number);
/* multilply original number by reverse iterator */
mpfr_set_si(to, 1, round);
while(!iszero(number)) {
mpfr_mul(to, to, number, round);
mpfr_sub_si(number, number, 1, round);
}
mpfr_copysign(to, to, num, round);
mpfr_clears(number, NULL);
return 0;
} /* synge_factorial() */
/**
* rasqal_xsd_decimal_floor:
* @result: result variable
* @a: argment decimal
*
* Return the number with no fractional part closes to argument for an XSD Decimal
*
* Return value: non-0 on failure
**/
int
rasqal_xsd_decimal_floor(rasqal_xsd_decimal* result, rasqal_xsd_decimal* a)
{
int rc = 0;
rasqal_xsd_decimal_clear_string(result);
#if defined(RASQAL_DECIMAL_C99) || defined(RASQAL_DECIMAL_NONE)
result->raw = floor(a->raw);
#endif
#ifdef RASQAL_DECIMAL_MPFR
mpfr_floor(result->raw, a->raw);
#endif
#ifdef RASQAL_DECIMAL_GMP
mpf_floor(result->raw, a->raw);
#endif
return rc;
}
int
mpfr_rint_floor (mpfr_ptr r, mpfr_srcptr u, mpfr_rnd_t rnd_mode)
{
if (MPFR_UNLIKELY( MPFR_IS_SINGULAR(u) ) || mpfr_integer_p (u))
return mpfr_set (r, u, rnd_mode);
else
{
mpfr_t tmp;
int inex;
unsigned int saved_flags = __gmpfr_flags;
MPFR_BLOCK_DECL (flags);
mpfr_init2 (tmp, MPFR_PREC (u));
/* floor(u) is representable in tmp unless an overflow occurs */
MPFR_BLOCK (flags, mpfr_floor (tmp, u));
__gmpfr_flags = saved_flags;
inex = (MPFR_OVERFLOW (flags)
? mpfr_overflow (r, rnd_mode, MPFR_SIGN_NEG)
: mpfr_set (r, tmp, rnd_mode));
mpfr_clear (tmp);
return inex;
}
}
int
mpfr_rint_floor (mpfr_ptr r, mpfr_srcptr u, mpfr_rnd_t rnd_mode)
{
if (MPFR_UNLIKELY( MPFR_IS_SINGULAR(u) ) || mpfr_integer_p (u))
return mpfr_set (r, u, rnd_mode);
else
{
mpfr_t tmp;
int inex;
MPFR_SAVE_EXPO_DECL (expo);
MPFR_BLOCK_DECL (flags);
MPFR_SAVE_EXPO_MARK (expo);
mpfr_init2 (tmp, MPFR_PREC (u));
/* floor(u) is representable in tmp unless an overflow occurs */
MPFR_BLOCK (flags, mpfr_floor (tmp, u));
inex = (MPFR_OVERFLOW (flags)
? mpfr_overflow (r, rnd_mode, MPFR_SIGN_NEG)
: mpfr_set (r, tmp, rnd_mode));
mpfr_clear (tmp);
MPFR_SAVE_EXPO_FREE (expo);
return mpfr_check_range (r, inex, rnd_mode);
}
}
int
main (void)
{
int j, k;
mpfr_t x, y, z, t, y2, z2, t2;
tests_start_mpfr ();
mpfr_inits2 (SIZEX, x, y, z, t, y2, z2, t2, (mpfr_ptr) 0);
mpfr_set_str1 (x, "0.5");
mpfr_ceil(y, x);
if (mpfr_cmp_ui (y, 1))
{
printf ("Error in mpfr_ceil for x=0.5: expected 1.0, got ");
mpfr_print_binary(y);
putchar('\n');
exit (1);
}
mpfr_set_ui (x, 0, MPFR_RNDN);
mpfr_ceil(y, x);
if (mpfr_cmp_ui(y,0))
{
printf ("Error in mpfr_ceil for x=0.0: expected 0.0, got ");
mpfr_print_binary(y);
putchar('\n');
exit (1);
}
mpfr_set_ui (x, 1, MPFR_RNDN);
mpfr_ceil(y, x);
if (mpfr_cmp_ui(y,1))
{
printf ("Error in mpfr_ceil for x=1.0: expected 1.0, got ");
mpfr_print_binary(y);
putchar('\n');
exit (1);
}
for (j=0;j<1000;j++)
{
mpfr_urandomb (x, RANDS);
MPFR_EXP (x) = 2;
for (k = 2; k <= SIZEX; k++)
{
mpfr_set_prec(y, k);
mpfr_set_prec(y2, k);
mpfr_set_prec(z, k);
mpfr_set_prec(z2, k);
mpfr_set_prec(t, k);
mpfr_set_prec(t2, k);
mpfr_floor(y, x);
mpfr_set(y2, x, MPFR_RNDD);
mpfr_trunc(z, x);
mpfr_set(z2, x, MPFR_RNDZ);
mpfr_ceil(t, x);
mpfr_set(t2, x, MPFR_RNDU);
if (!mpfr_eq(y, y2, k))
{
printf("Error in floor, x = "); mpfr_print_binary(x);
printf("\n");
printf("floor(x) = "); mpfr_print_binary(y);
printf("\n");
printf("round(x, RNDD) = "); mpfr_print_binary(y2);
printf("\n");
exit(1);
}
if (!mpfr_eq(z, z2, k))
{
printf("Error in trunc, x = "); mpfr_print_binary(x);
printf("\n");
printf("trunc(x) = "); mpfr_print_binary(z);
printf("\n");
printf("round(x, RNDZ) = "); mpfr_print_binary(z2);
printf("\n");
exit(1);
}
if (!mpfr_eq(y, y2, k))
{
printf("Error in ceil, x = "); mpfr_print_binary(x);
printf("\n");
printf("ceil(x) = "); mpfr_print_binary(t);
printf("\n");
printf("round(x, RNDU) = "); mpfr_print_binary(t2);
printf("\n");
exit(1);
}
MPFR_EXP(x)++;
}
}
mpfr_clears (x, y, z, t, y2, z2, t2, (mpfr_ptr) 0);
tests_end_mpfr ();
return 0;
}
int main()
{
slong i;
mpfr_t tabx, expx, y1, y2;
mpz_t tt;
flint_printf("exp_tab....");
fflush(stdout);
{
slong prec, bits, num;
prec = ARB_EXP_TAB1_LIMBS * FLINT_BITS;
bits = ARB_EXP_TAB1_BITS;
num = ARB_EXP_TAB1_NUM;
mpfr_init2(tabx, prec);
mpfr_init2(expx, prec);
mpfr_init2(y1, prec);
mpfr_init2(y2, prec);
for (i = 0; i < num; i++)
{
tt->_mp_d = (mp_ptr) arb_exp_tab1[i];
tt->_mp_size = prec / FLINT_BITS;
tt->_mp_alloc = tt->_mp_size;
while (tt->_mp_size > 0 && tt->_mp_d[tt->_mp_size-1] == 0)
tt->_mp_size--;
mpfr_set_z(tabx, tt, MPFR_RNDD);
mpfr_div_2ui(tabx, tabx, prec, MPFR_RNDD);
mpfr_set_ui(expx, i, MPFR_RNDD);
mpfr_div_2ui(expx, expx, bits, MPFR_RNDD);
mpfr_exp(expx, expx, MPFR_RNDD);
mpfr_mul_2ui(y1, tabx, prec, MPFR_RNDD);
mpfr_floor(y1, y1);
mpfr_div_2ui(y1, y1, prec, MPFR_RNDD);
mpfr_mul_2ui(y2, expx, prec - 1, MPFR_RNDD);
mpfr_floor(y2, y2);
mpfr_div_2ui(y2, y2, prec, MPFR_RNDD);
if (!mpfr_equal_p(y1, y2))
{
flint_printf("FAIL: i = %wd, bits = %wd, prec = %wd\n", i, bits, prec);
mpfr_printf("y1 = %.1500Rg\n", y1);
mpfr_printf("y2 = %.1500Rg\n", y2);
abort();
}
}
mpfr_clear(tabx);
mpfr_clear(expx);
mpfr_clear(y1);
mpfr_clear(y2);
}
{
slong prec, bits, num;
prec = ARB_EXP_TAB2_LIMBS * FLINT_BITS;
bits = ARB_EXP_TAB21_BITS;
num = ARB_EXP_TAB21_NUM;
mpfr_init2(tabx, prec);
mpfr_init2(expx, prec);
mpfr_init2(y1, prec);
mpfr_init2(y2, prec);
for (i = 0; i < num; i++)
{
tt->_mp_d = (mp_ptr) arb_exp_tab21[i];
tt->_mp_size = prec / FLINT_BITS;
tt->_mp_alloc = tt->_mp_size;
while (tt->_mp_size > 0 && tt->_mp_d[tt->_mp_size-1] == 0)
tt->_mp_size--;
mpfr_set_z(tabx, tt, MPFR_RNDD);
mpfr_div_2ui(tabx, tabx, prec, MPFR_RNDD);
mpfr_set_ui(expx, i, MPFR_RNDD);
mpfr_div_2ui(expx, expx, bits, MPFR_RNDD);
mpfr_exp(expx, expx, MPFR_RNDD);
mpfr_mul_2ui(y1, tabx, prec, MPFR_RNDD);
mpfr_floor(y1, y1);
mpfr_div_2ui(y1, y1, prec, MPFR_RNDD);
mpfr_mul_2ui(y2, expx, prec - 1, MPFR_RNDD);
mpfr_floor(y2, y2);
mpfr_div_2ui(y2, y2, prec, MPFR_RNDD);
if (!mpfr_equal_p(y1, y2))
{
flint_printf("FAIL: i = %wd, bits = %wd, prec = %wd\n", i, bits, prec);
mpfr_printf("y1 = %.1500Rg\n", y1);
mpfr_printf("y2 = %.1500Rg\n", y2);
abort();
}
}
mpfr_clear(tabx);
mpfr_clear(expx);
mpfr_clear(y1);
mpfr_clear(y2);
}
{
slong prec, bits, num;
prec = ARB_EXP_TAB2_LIMBS * FLINT_BITS;
bits = ARB_EXP_TAB21_BITS + ARB_EXP_TAB22_BITS;
num = ARB_EXP_TAB22_NUM;
mpfr_init2(tabx, prec);
mpfr_init2(expx, prec);
mpfr_init2(y1, prec);
mpfr_init2(y2, prec);
for (i = 0; i < num; i++)
{
tt->_mp_d = (mp_ptr) arb_exp_tab22[i];
tt->_mp_size = prec / FLINT_BITS;
tt->_mp_alloc = tt->_mp_size;
while (tt->_mp_size > 0 && tt->_mp_d[tt->_mp_size-1] == 0)
tt->_mp_size--;
mpfr_set_z(tabx, tt, MPFR_RNDD);
mpfr_div_2ui(tabx, tabx, prec, MPFR_RNDD);
mpfr_set_ui(expx, i, MPFR_RNDD);
mpfr_div_2ui(expx, expx, bits, MPFR_RNDD);
mpfr_exp(expx, expx, MPFR_RNDD);
mpfr_mul_2ui(y1, tabx, prec, MPFR_RNDD);
mpfr_floor(y1, y1);
mpfr_div_2ui(y1, y1, prec, MPFR_RNDD);
mpfr_mul_2ui(y2, expx, prec - 1, MPFR_RNDD);
mpfr_floor(y2, y2);
mpfr_div_2ui(y2, y2, prec, MPFR_RNDD);
if (!mpfr_equal_p(y1, y2))
{
flint_printf("FAIL: i = %wd, bits = %wd, prec = %wd\n", i, bits, prec);
mpfr_printf("y1 = %.1500Rg\n", y1);
mpfr_printf("y2 = %.1500Rg\n", y2);
abort();
}
}
mpfr_clear(tabx);
mpfr_clear(expx);
mpfr_clear(y1);
mpfr_clear(y2);
}
flint_cleanup();
flint_printf("PASS\n");
return EXIT_SUCCESS;
}
static PyObject *
GMPy_Real_FloorDiv(PyObject *x, PyObject *y, CTXT_Object *context)
{
MPFR_Object *result;
CHECK_CONTEXT(context);
if (!(result = GMPy_MPFR_New(0, context))) {
/* LCOV_EXCL_START */
return NULL;
/* LCOV_EXCL_STOP */
}
if (MPFR_Check(x)) {
if (MPFR_Check(y)) {
mpfr_clear_flags();
result->rc = mpfr_div(result->f, MPFR(x), MPFR(y), GET_MPFR_ROUND(context));
result->rc = mpfr_floor(result->f, result->f);
goto done;
}
if (PyIntOrLong_Check(y)) {
int error;
long tempi = GMPy_Integer_AsLongAndError(y, &error);
if (!error) {
mpfr_clear_flags();
result->rc = mpfr_div_si(result->f, MPFR(x), tempi, GET_MPFR_ROUND(context));
result->rc = mpfr_floor(result->f, result->f);
goto done;
}
else {
mpz_set_PyIntOrLong(global.tempz, y);
mpfr_clear_flags();
result->rc = mpfr_div_z(result->f, MPFR(x), global.tempz, GET_MPFR_ROUND(context));
result->rc = mpfr_floor(result->f, result->f);
goto done;
}
}
if (CHECK_MPZANY(y)) {
mpfr_clear_flags();
result->rc = mpfr_div_z(result->f, MPFR(x), MPZ(y), GET_MPFR_ROUND(context));
result->rc = mpfr_floor(result->f, result->f);
goto done;
}
if (IS_RATIONAL(y)) {
MPQ_Object *tempy;
if (!(tempy = GMPy_MPQ_From_Number(y, context))) {
Py_DECREF((PyObject*)result);
return NULL;
}
mpfr_clear_flags();
result->rc = mpfr_div_q(result->f, MPFR(x), tempy->q, GET_MPFR_ROUND(context));
result->rc = mpfr_floor(result->f, result->f);
Py_DECREF((PyObject*)tempy);
goto done;
}
if (PyFloat_Check(y)) {
mpfr_clear_flags();
result->rc = mpfr_div_d(result->f, MPFR(x), PyFloat_AS_DOUBLE(y), GET_MPFR_ROUND(context));
result->rc = mpfr_floor(result->f, result->f);
goto done;
}
}
if (MPFR_Check(y)) {
if (PyIntOrLong_Check(x)) {
int error;
long tempi = GMPy_Integer_AsLongAndError(x, &error);
if (!error) {
mpfr_clear_flags();
result->rc = mpfr_si_div(result->f, tempi, MPFR(y), GET_MPFR_ROUND(context));
result->rc = mpfr_floor(result->f, result->f);
goto done;
}
}
/* Since mpfr_z_div does not exist, this combination is handled at the
* end by converting x to an mpfr. Ditto for rational.*/
if (PyFloat_Check(x)) {
mpfr_clear_flags();
result->rc = mpfr_d_div(result->f, PyFloat_AS_DOUBLE(x), MPFR(y), GET_MPFR_ROUND(context));
result->rc = mpfr_floor(result->f, result->f);
goto done;
}
}
/* Handle the remaining cases.
* Note: verify that MPZ if converted at full precision! */
if (IS_REAL(x) && IS_REAL(y)) {
MPFR_Object *tempx, *tempy;
tempx = GMPy_MPFR_From_Real(x, 1, context);
tempy = GMPy_MPFR_From_Real(y, 1, context);
if (!tempx || !tempy) {
Py_XDECREF((PyObject*)tempx);
Py_XDECREF((PyObject*)tempy);
Py_DECREF((PyObject*)result);
return NULL;
}
mpfr_clear_flags();
result->rc = mpfr_div(result->f, MPFR(tempx), MPFR(tempy), GET_MPFR_ROUND(context));
result->rc = mpfr_floor(result->f, result->f);
Py_DECREF((PyObject*)tempx);
Py_DECREF((PyObject*)tempy);
goto done;
}
Py_DECREF((PyObject*)result);
Py_RETURN_NOTIMPLEMENTED;
done:
_GMPy_MPFR_Cleanup(&result, context);
return (PyObject*)result;
}
APLVFP PrimFnMonDownStileVisV
(APLVFP aplVfpRht,
LPPRIMSPEC lpPrimSpec)
{
APLVFP mpfRes = {0},
mpfFloor = {0},
mpfCeil = {0},
mpfTmp1 = {0},
mpfTmp2 = {0},
mpfNear = {0};
// Check for PoM infinity
if (IsMpfInfinity (&aplVfpRht))
// Copy to the result
mpfr_init_copy (&mpfRes, &aplVfpRht);
else
{
#ifdef DEBUG
//// WCHAR wszTemp[512];
#endif
// Initialize the temps
mpfr_init0 (&mpfRes);
mpfr_init0 (&mpfFloor);
mpfr_init0 (&mpfCeil );
mpfr_init0 (&mpfTmp1);
mpfr_init0 (&mpfTmp2);
mpfr_init0 (&mpfNear);
// Get the exact floor and ceiling
mpfr_floor (&mpfFloor, &aplVfpRht);
mpfr_ceil (&mpfCeil , &aplVfpRht);
// Calculate the integer nearest the right arg
mpfr_sub (&mpfTmp1, &aplVfpRht, &mpfFloor, MPFR_RNDN);
mpfr_sub (&mpfTmp2, &mpfCeil , &aplVfpRht, MPFR_RNDN);
// Split cases based upon the signum of the difference between
// (the number and its floor) and (the ceiling and the number)
switch (signumint (mpfr_cmp (&mpfTmp1, &mpfTmp2)))
{
case 1:
mpfr_set (&mpfNear, &mpfCeil, MPFR_RNDN);
break;
case 0:
mpfr_abs (&mpfTmp1, &mpfFloor, MPFR_RNDN);
mpfr_abs (&mpfTmp2, &mpfFloor, MPFR_RNDN);
// They are equal, so use the one with the larger absolute value
mpfr_set (&mpfNear,
((mpfr_cmp (&mpfTmp1, &mpfTmp2) > 0) ? &mpfFloor
: &mpfCeil),
MPFR_RNDN);
break;
case -1:
mpfr_set (&mpfNear, &mpfFloor, MPFR_RNDN);
break;
defstop
break;
} // End SWITCH
#ifdef DEBUG
//// strcpyW (wszTemp, L"Floor: "); *FormatAplVfp (&wszTemp[lstrlenW (wszTemp)], mpfFloor, 0) = WC_EOS; DbgMsgW (wszTemp);
//// strcpyW (wszTemp, L"Near: "); *FormatAplVfp (&wszTemp[lstrlenW (wszTemp)], mpfNear , 0) = WC_EOS; DbgMsgW (wszTemp);
//// strcpyW (wszTemp, L"Ceil: "); *FormatAplVfp (&wszTemp[lstrlenW (wszTemp)], mpfCeil , 0) = WC_EOS; DbgMsgW (wszTemp);
#endif
// If Near is < Rht, return Near
if (mpfr_cmp (&mpfNear, &aplVfpRht) < 0)
mpfr_set (&mpfRes, &mpfNear, MPFR_RNDN);
else
{
// If Near is non-zero, and
// Rht is tolerantly-equal to Near,
// return Near; otherwise, return Near - 1
if (mpfr_sgn (&mpfNear) NE 0)
{
mpfr_set (&mpfRes, &mpfNear, MPFR_RNDN);
if (!PrimFnDydEqualBisVvV (aplVfpRht,
mpfNear,
NULL))
mpfr_sub_ui (&mpfRes, &mpfRes, 1, MPFR_RNDN);
} else
{
// aplNear is zero
// Get -[]CT as a VFP
mpfr_set_d (&mpfTmp1, -GetQuadCT (), MPFR_RNDN);
// If Rht is between (-[]CT) and 0 (inclusive),
// return 0; otherwise, return -1
if (mpfr_cmp (&mpfTmp1, &aplVfpRht) <= 0
&& mpfr_sgn (&aplVfpRht) <= 0)
mpfr_set_si (&mpfRes, 0, MPFR_RNDN);
else
mpfr_set_si (&mpfRes, -1, MPFR_RNDN);
} // End IF/ELSE
} // End IF/ELSE
// We no longer need this storage
Myf_clear (&mpfNear);
Myf_clear (&mpfTmp2);
Myf_clear (&mpfTmp1);
Myf_clear (&mpfCeil);
Myf_clear (&mpfFloor);
} // End IF/ELSE
return mpfRes;
} // End PrimFnMonDownStileVisV
/* (y, z) <- (sin(x), cos(x)), return value is 0 iff both results are exact */
int
mpfr_sin_cos (mpfr_ptr y, mpfr_ptr z, mpfr_srcptr x, mp_rnd_t rnd_mode)
{
int prec, m, ok, e, inexact, neg;
mpfr_t c, k;
if (MPFR_IS_NAN(x) || MPFR_IS_INF(x))
{
MPFR_SET_NAN(y);
MPFR_SET_NAN(z);
MPFR_RET_NAN;
}
if (MPFR_IS_ZERO(x))
{
MPFR_CLEAR_FLAGS(y);
MPFR_SET_ZERO(y);
MPFR_SET_SAME_SIGN(y, x);
mpfr_set_ui (z, 1, GMP_RNDN);
MPFR_RET(0);
}
prec = MAX(MPFR_PREC(y), MPFR_PREC(z));
m = prec + _mpfr_ceil_log2 ((double) prec) + ABS(MPFR_EXP(x)) + 13;
mpfr_init2 (c, m);
mpfr_init2 (k, m);
/* first determine sign */
mpfr_const_pi (c, GMP_RNDN);
mpfr_mul_2ui (c, c, 1, GMP_RNDN); /* 2*Pi */
mpfr_div (k, x, c, GMP_RNDN); /* x/(2*Pi) */
mpfr_floor (k, k); /* floor(x/(2*Pi)) */
mpfr_mul (c, k, c, GMP_RNDN);
mpfr_sub (k, x, c, GMP_RNDN); /* 0 <= k < 2*Pi */
mpfr_const_pi (c, GMP_RNDN); /* cached */
neg = mpfr_cmp (k, c) > 0;
mpfr_clear (k);
do
{
mpfr_cos (c, x, GMP_RNDZ);
if ((ok = mpfr_can_round (c, m, GMP_RNDZ, rnd_mode, MPFR_PREC(z))))
{
inexact = mpfr_set (z, c, rnd_mode);
mpfr_mul (c, c, c, GMP_RNDU);
mpfr_ui_sub (c, 1, c, GMP_RNDN);
e = 2 + (-MPFR_EXP(c)) / 2;
mpfr_sqrt (c, c, GMP_RNDN);
if (neg)
mpfr_neg (c, c, GMP_RNDN);
/* the absolute error on c is at most 2^(e-m) = 2^(EXP(c)-err) */
e = MPFR_EXP(c) + m - e;
ok = (e >= 0) && mpfr_can_round (c, e, GMP_RNDN, rnd_mode,
MPFR_PREC(y));
}
if (ok == 0)
{
m += _mpfr_ceil_log2 ((double) m);
mpfr_set_prec (c, m);
}
}
while (ok == 0);
inexact = mpfr_set (y, c, rnd_mode) || inexact;
mpfr_clear (c);
return inexact; /* inexact */
}
int
main (void)
{
mp_size_t s;
mpz_t z;
mp_prec_t p;
mpfr_t x, y, t;
mp_rnd_t r;
int inexact, sign_t;
mpfr_init (x);
mpfr_init (y);
mpz_init (z);
mpfr_init (t);
mpz_set_ui (z, 1);
for (s = 2; s < 100; s++)
{
/* z has exactly s bits */
mpz_mul_2exp (z, z, 1);
if (LONG_RAND () % 2)
mpz_add_ui (z, z, 1);
mpfr_set_prec (x, s);
mpfr_set_prec (t, s);
if (mpfr_set_z (x, z, GMP_RNDN))
{
fprintf (stderr, "Error: mpfr_set_z should be exact (s = %u)\n",
(unsigned int) s);
exit (1);
}
for (p=2; p<100; p++)
{
mpfr_set_prec (y, p);
for (r=0; r<4; r++)
{
if (r == GMP_RNDN)
inexact = mpfr_round (y, x);
else if (r == GMP_RNDZ)
inexact = mpfr_trunc (y, x);
else if (r == GMP_RNDU)
inexact = mpfr_ceil (y, x);
else /* r = GMP_RNDD */
inexact = mpfr_floor (y, x);
if (mpfr_sub (t, y, x, GMP_RNDN))
{
fprintf (stderr, "Error: subtraction should be exact\n");
exit (1);
}
sign_t = mpfr_cmp_ui (t, 0);
if (((inexact == 0) && (sign_t != 0)) ||
((inexact < 0) && (sign_t >= 0)) ||
((inexact > 0) && (sign_t <= 0)))
{
fprintf (stderr, "Wrong inexact flag\n");
exit (1);
}
}
}
}
mpfr_clear (x);
mpfr_clear (y);
mpz_clear (z);
mpfr_clear (t);
return 0;
}
int
main (int argc, char *argv[])
{
mp_size_t s;
mpz_t z;
mpfr_prec_t p;
mpfr_t x, y, t, u, v;
int r;
int inexact, sign_t;
tests_start_mpfr ();
mpfr_init (x);
mpfr_init (y);
mpz_init (z);
mpfr_init (t);
mpfr_init (u);
mpfr_init (v);
mpz_set_ui (z, 1);
for (s = 2; s < 100; s++)
{
/* z has exactly s bits */
mpz_mul_2exp (z, z, 1);
if (randlimb () % 2)
mpz_add_ui (z, z, 1);
mpfr_set_prec (x, s);
mpfr_set_prec (t, s);
mpfr_set_prec (u, s);
if (mpfr_set_z (x, z, MPFR_RNDN))
{
printf ("Error: mpfr_set_z should be exact (s = %u)\n",
(unsigned int) s);
exit (1);
}
if (randlimb () % 2)
mpfr_neg (x, x, MPFR_RNDN);
if (randlimb () % 2)
mpfr_div_2ui (x, x, randlimb () % s, MPFR_RNDN);
for (p = 2; p < 100; p++)
{
int trint;
mpfr_set_prec (y, p);
mpfr_set_prec (v, p);
for (r = 0; r < MPFR_RND_MAX ; r++)
for (trint = 0; trint < 3; trint++)
{
if (trint == 2)
inexact = mpfr_rint (y, x, (mpfr_rnd_t) r);
else if (r == MPFR_RNDN)
inexact = mpfr_round (y, x);
else if (r == MPFR_RNDZ)
inexact = (trint ? mpfr_trunc (y, x) :
mpfr_rint_trunc (y, x, MPFR_RNDZ));
else if (r == MPFR_RNDU)
inexact = (trint ? mpfr_ceil (y, x) :
mpfr_rint_ceil (y, x, MPFR_RNDU));
else /* r = MPFR_RNDD */
inexact = (trint ? mpfr_floor (y, x) :
mpfr_rint_floor (y, x, MPFR_RNDD));
if (mpfr_sub (t, y, x, MPFR_RNDN))
err ("subtraction 1 should be exact",
s, x, y, p, (mpfr_rnd_t) r, trint, inexact);
sign_t = mpfr_cmp_ui (t, 0);
if (trint != 0 &&
(((inexact == 0) && (sign_t != 0)) ||
((inexact < 0) && (sign_t >= 0)) ||
((inexact > 0) && (sign_t <= 0))))
err ("wrong inexact flag", s, x, y, p, (mpfr_rnd_t) r, trint, inexact);
if (inexact == 0)
continue; /* end of the test for exact results */
if (((r == MPFR_RNDD || (r == MPFR_RNDZ && MPFR_SIGN (x) > 0))
&& inexact > 0) ||
((r == MPFR_RNDU || (r == MPFR_RNDZ && MPFR_SIGN (x) < 0))
&& inexact < 0))
err ("wrong rounding direction",
s, x, y, p, (mpfr_rnd_t) r, trint, inexact);
if (inexact < 0)
{
mpfr_add_ui (v, y, 1, MPFR_RNDU);
if (mpfr_cmp (v, x) <= 0)
err ("representable integer between x and its "
"rounded value", s, x, y, p, (mpfr_rnd_t) r, trint, inexact);
}
else
{
mpfr_sub_ui (v, y, 1, MPFR_RNDD);
if (mpfr_cmp (v, x) >= 0)
err ("representable integer between x and its "
"rounded value", s, x, y, p, (mpfr_rnd_t) r, trint, inexact);
}
if (r == MPFR_RNDN)
{
int cmp;
if (mpfr_sub (u, v, x, MPFR_RNDN))
err ("subtraction 2 should be exact",
s, x, y, p, (mpfr_rnd_t) r, trint, inexact);
cmp = mpfr_cmp_abs (t, u);
if (cmp > 0)
err ("faithful rounding, but not the nearest integer",
s, x, y, p, (mpfr_rnd_t) r, trint, inexact);
if (cmp < 0)
continue;
/* |t| = |u|: x is the middle of two consecutive
representable integers. */
if (trint == 2)
{
/* halfway case for mpfr_rint in MPFR_RNDN rounding
mode: round to an even integer or significand. */
mpfr_div_2ui (y, y, 1, MPFR_RNDZ);
if (!mpfr_integer_p (y))
err ("halfway case for mpfr_rint, result isn't an"
" even integer", s, x, y, p, (mpfr_rnd_t) r, trint, inexact);
/* If floor(x) and ceil(x) aren't both representable
integers, the significand must be even. */
mpfr_sub (v, v, y, MPFR_RNDN);
mpfr_abs (v, v, MPFR_RNDN);
if (mpfr_cmp_ui (v, 1) != 0)
{
mpfr_div_2si (y, y, MPFR_EXP (y) - MPFR_PREC (y)
+ 1, MPFR_RNDN);
if (!mpfr_integer_p (y))
err ("halfway case for mpfr_rint, significand isn't"
" even", s, x, y, p, (mpfr_rnd_t) r, trint, inexact);
}
}
else
{ /* halfway case for mpfr_round: x must have been
rounded away from zero. */
if ((MPFR_SIGN (x) > 0 && inexact < 0) ||
(MPFR_SIGN (x) < 0 && inexact > 0))
err ("halfway case for mpfr_round, bad rounding"
" direction", s, x, y, p, (mpfr_rnd_t) r, trint, inexact);
}
}
}
}
}
mpfr_clear (x);
mpfr_clear (y);
mpz_clear (z);
mpfr_clear (t);
mpfr_clear (u);
mpfr_clear (v);
special ();
coverage_03032011 ();
#if __MPFR_STDC (199901L)
if (argc > 1 && strcmp (argv[1], "-s") == 0)
test_against_libc ();
#endif
tests_end_mpfr ();
return 0;
}
MpfrFloat MpfrFloat::floor(const MpfrFloat& value)
{
MpfrFloat retval(MpfrFloat::kNoInitialization);
mpfr_floor(retval.mData->mFloat, value.mData->mFloat);
return retval;
}